DLMF:1.8.E8 (Q262): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2addec

Revision as of 16:03, 1 January 2020

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DLMF:1.8.E8
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    Statements

    Defining formula
    L n = 1 π ⁢ ∫ 0 π | sin ⁡ ( n + 1 2 ) ⁢ t | sin ⁡ ( 1 2 ⁢ t ) ⁢ d t , subscript 𝐿 𝑛 1 𝜋 subscript superscript 𝜋 0 𝑛 1 2 𝑡 1 2 𝑡 𝑡 {\displaystyle{\displaystyle L_{n}=\frac{1}{\pi}\int^{\pi}_{0}\frac{\left|\sin% \left(n+\frac{1}{2}\right)t\right|}{\sin\left(\frac{1}{2}t\right)}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:1.8.E8
    0 references
    constraint
    n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
     
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